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Finding the Fourth Proportional to 510,384, 765,318.60 and 297,220.80

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Solution

The fourth proportional to 510,384, 765,318.60 and 297,220.80 is: 445,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,384 : 765,318.60 = 297,220.80 : x
  2. Step 2: Convert to fraction form
    510,384/765,318.60 = 297,220.80/x
  3. Step 3: Cross multiply
    510,384x = 765,318.60 × 297,220.80
  4. Step 4: Simplify right side
    510,384x = 227,468,606,546.88
  5. Step 5: Solve for x
    x = 227,468,606,546.88/510,384
  6. Step 6: Final answer
    x = 445,681.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.